Vectors in the Plane u = (3, -2) and v = (-2, 5). Find the (a) component form and (b) magnitude (length) of the vector. 1. 3u 2. -2v 3. и + v 4. u - v
Vectors in the Plane u = (3, -2) and v = (-2, 5). Find the (a) component form and (b) magnitude (length) of the vector. 1. 3u 2. -2v 3. и + v 4. u - v
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Vectors in the Plane u = (3, -2) and v =
=(-2,5). Find the (a)
component form and (b) magnitude (length) of the vector.
1. Зи
2. -2v
3. u + v
4. и — у
5. 2u - 3v
6. -2u + 5v
3
4
u +
5
5
12
u +
7.
8.
13
13
a. v•u, |v|, |u|
b. the cosine of the angle between v and u
c. the scalar component of u in the direction of v
d. the vector proj, u.
2i – 4j + V5k, u = -2i + 4j - V5k
1. v =
2. у 3
(3/5)i + (4/5)k, u =
5i + 12j
3. v =
10i + 11j – 2k, u =
3j + 4k
4. v = 2i + 10j – 11k, u =
2i + 2j + k
5. v = 5j – 3k, u = i +j+ k
V2i + V3j + 2k
6. v = -i + j,
u =
7. v = 5i + j,
u = 2i + V17j
1
1
8. у 3D
u =
V3,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff44596a9-2d27-4b79-9270-2d83719c3eb2%2Fcbf57eb3-7ea8-43e6-9ee1-953f3c77c8ec%2Fw0esq6h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Vectors in the Plane u = (3, -2) and v =
=(-2,5). Find the (a)
component form and (b) magnitude (length) of the vector.
1. Зи
2. -2v
3. u + v
4. и — у
5. 2u - 3v
6. -2u + 5v
3
4
u +
5
5
12
u +
7.
8.
13
13
a. v•u, |v|, |u|
b. the cosine of the angle between v and u
c. the scalar component of u in the direction of v
d. the vector proj, u.
2i – 4j + V5k, u = -2i + 4j - V5k
1. v =
2. у 3
(3/5)i + (4/5)k, u =
5i + 12j
3. v =
10i + 11j – 2k, u =
3j + 4k
4. v = 2i + 10j – 11k, u =
2i + 2j + k
5. v = 5j – 3k, u = i +j+ k
V2i + V3j + 2k
6. v = -i + j,
u =
7. v = 5i + j,
u = 2i + V17j
1
1
8. у 3D
u =
V3,
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